On the Local Uniqueness of Solutions of Variational Inequalities Under H-Differentiability

M.A. Tawhid
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M.A. Tawhid: Alexandria University

Journal of Optimization Theory and Applications, 2002, vol. 113, issue 1, No 9, 149-164

Abstract: Abstract In this paper, we give some sufficient conditions for the local uniqueness of solutions to nonsmooth variational inequalities where the underlying functions are H-differentiable and the underlying set is a closed convex set/polyhedral set/box/polyhedral cone. We show how the solution of a linearized variational inequality is related to the solution of the variational inequality. These results extend/unify various similar results proved for C 1 and locally Lipschitzian variational inequality problems. When specialized to the nonlinear complementarity problem, our results extend/unify those of C 2 and C 1 nonlinear complementarity problems.

Keywords: Variational inequality problems; local uniqueness of solutions; H-differentiability; H-differentials (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1014813415372

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